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Finding the Third Proportional to 72,425.50 and 97,460

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Solution

The third proportional to 72,425.50 and 97,460 is: 131,147.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,425.50 : 97,460 = 97,460 : x
  2. Step 2: Convert to fraction form
    72,425.50/97,460 = 97,460/x
  3. Step 3: Cross multiply
    72,425.50x = 97,460 × 97,460
  4. Step 4: Simplify right side
    72,425.50x = 9,498,451,600
  5. Step 5: Solve for x
    x = 9,498,451,600/72,425.50
  6. Step 6: Final answer
    x = 131,147.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.